André Volkmann

collaborators

5 papers

math.CO2026

The small Davenport constant of $E_{2} \times C_{3}^{r}$ for $0 \leq r \leq 3$

Andreas Volkmann

Let $E_{2}$ be the extraspecial group of order $3^{5}$ and exponent three. We prove that $d (E_{2} \times C_{3}^{r}) = 2 r + 10$ for $0 \leq r \leq 3$ . The upper bounds follow from signed zero-block ide…

math.CO2026

A twelve-term exclusion for the small Davenport constant of $E_{2} \times C_{3}^{r}$

Andreas Volkmann

Let $E_{2}$ be the extraspecial group of order $3^{5}$ and exponent three. For every $r \geq 1$ , we prove that a product-one-free sequence of length $2 r + 11$ over $E_{2} \times C_{3}^{r}$ cannot…

math.CO2026

The small Davenport constant of $H_{27} \times C_{3}^{r}$

Andreas Volkmann

Let $H_{27} = UT_{3} (F_{3})$ be the nonabelian group of order $27$ and exponent $3$ . We prove that $d (H_{27} \times C_{3}^{r}) = 2 r + 6$ for every integer $r \geq 0$ . The…

math.CO2026

A Uniform Proof for the Small Davenport Constant of the Exponent- $p$ Heisenberg Group

Andreas Volkmann

Let $p$ be an odd prime and let $H_{p^{3}} = UT_{3} (F_{p})$ be the Heisenberg group of order $p^{3}$ and exponent $p$ . We prove $d (H_{p^{3}}) = 3 p - 3$ . The main i…

math.CO2026

The small Davenport constant of the Heisenberg group of order 343

Andreas Volkmann

For a finite group $G$ , let $d (G)$ denote the maximum length of a sequence having no nonempty subsequence whose terms can be ordered to have product one. For an odd prime…

The small Davenport constant of E2​×C3r​ for 0≤r≤3

A twelve-term exclusion for the small Davenport constant of E2​×C3r​

The small Davenport constant of H27​×C3r​

A Uniform Proof for the Small Davenport Constant of the Exponent-p Heisenberg Group

The small Davenport constant of the Heisenberg group of order 343

The small Davenport constant of $E_{2} \times C_{3}^{r}$ for $0 \leq r \leq 3$

A twelve-term exclusion for the small Davenport constant of $E_{2} \times C_{3}^{r}$

The small Davenport constant of $H_{27} \times C_{3}^{r}$

A Uniform Proof for the Small Davenport Constant of the Exponent- $p$ Heisenberg Group